Tag Archives: fractions

Make Your Own Fractions

In my very first Sine of the Times blog post from January 2012, I wrote about the paucity of fractions that young learners typically encounter in their math classes. While they might construct visual representations of 1/2, 2/3, and 8/12, it's unlikely they'll create models of 7/31, 36/19, or 5/101. That's a shame because without … Continue Reading ››

An Equivalent Fractions Game

In my recent posts, I've introduced interactive models for comparing fractions and multiplying fractions. To continue the fraction theme, below is a Web Sketchpad model in which the need for equivalent fractions arises naturally through the rules of a game. The model displays two arrays. Dragging the four points changes the arrays' dimensions. The goal is to drag blue squares into the blue array … Continue Reading ››

Comparing and Identifying Fractions Visually

In my previous post, I presented an interactive Web Sketchpad model for visualizing and solving fraction multiplication problems. This week, I'd like to back up a step and focus on the more fundamental skill of visualizing and reasoning about the size of fractions. The fraction game below presents two random fractions at a time and challenges students to … Continue Reading ››